find the distance from the red point to the orgin

Answer:B

Step-by-step explanation: Have a great day<3 :)

Hello !

Answer:

\(\Large \boxed{\sf c=3}\)

Step-by-step explanation:

We want to find the value of c that verifies the following equation :

\(\sf 3+2c=9\)

For this, we need to isolate c.

To begin, let's substract 3 from both sides of the equation :

\(\sf 3+2c-3=9-3\\\sf 2c=6\)

Now let's divide both sides by 2 :

\(\frac{2c}{2}=\frac{6}{2} \\\boxed{\sf c=3}\)

Have a nice day ;)

The value of ADA is 36

The question could be approached as a quantitative reasoning exercise :

Assigning each alphabet a numeric value corresponding to its position in the English alphabet :

A has a value of 1

B has a value of 2

C has a value of 3

D has a value of 4

ADD could be interpreted as :

ADD = (1 + 4 + 4) = 9

Taking the square of the sum ; 9² = 81

ADD = 81

BAD could be interpreted as :

BAD = (2 + 1 + 4) = 7

Taking the square of the sum ; 7² = 49

CAD could be interpreted as :

CAD = 3 + 1 + 4 = 8

Taking the square of the sum ; 8² = 64

Therefore ;

ADA could be interpreted as :

ADA = 1 + 4 + 1 = 6

Square of the sum ; 6² = 36

Hence, the value of ADA is 36

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Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

Answer:

-3

Step-by-step explanation:

let the unknown be x.

x multiply by -5 = 9-2x

-5x=9-2x

-9=3x

x=-3

Answer:

$32 704

Step-by-step explanation:

(102.2÷100) × 32 000 = $32 704

Answer:

Step-by-step explanation:

Answer:1.112,121, 124,137,147,156,173,189

2.the median is 242

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

10 x 8 = 80

2 x 8 = 16

so 80 + 16 = 96 :)

The equivalent value of the equation is A = 96

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 12

Let the second number be q = 8

Now , A = pq

On simplifying the equation , we get

A = 12 x 8

So , the left hand side of the equation is equated to the right hand side by the value of 12 x 8

On multiplying 12 times 8 , we get

A = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8

A = 96

Therefore , the value of A = 96

Hence , the expression is A = 96

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Answer:

The value of x = 8.5

The value of FG = 8.5 units

Step-by-step explanation:

Given

Determining the value of x

As F is between E and G, so

EF = FG

7 = 2(x-5)

7 = 2x-10

2x = 7+10

2x = 17

divide both sides by 2

2x/2 = 17/2

x = 8.5

Thus,

The value of x = 8.5

Determining the value of FG

As

FG = 2(x-5)

substituting x = 8.5

FG = 2(8.5 - 5)

FG = 2(3.5)

FG = 7

Thus,

The value of FG = 8.5 units

Summary:

The value of x = 8.5

The value of FG = 8.5 units

Answer:

Person will be 24 metres above the ground after 1.50 minutes

Step-by-step explanation:

Given:

\(h(t)=18.8-16.7\cos \left ( \frac{2\pi t}{5} \right )\)

To find:

time when the person be 24 meters above the ground

Solution:

Put \(h(t)=24\)

\(h(t)=18.8-16.7\cos \left ( \frac{2\pi t}{5} \right )\\24=18.8-16.7\cos \left ( \frac{2\pi t}{5} \right )\\16.7\cos \left ( \frac{2\pi t}{5} \right )=18.8-24\\16.7\cos \left ( \frac{2\pi t}{5} \right )=-5.2\\\cos \left ( \frac{2\pi t}{5} \right )=\frac{-5.2}{16.7}\\\cos \left ( \frac{2\pi t}{5} \right )=-0.3114\\\frac{2\pi t}{5}=1.887\\\frac{2}{5}\times \frac{22}{7}t=1.887\\t=1.887\times \frac{5}{2}\times \frac{7}{22}\\=1.501\\\approx 1.50 \,\,minute\)

So, the person will be 24 metres above the ground after 1.50 minutes

Answer:

8% of $15,000 = .08 × $15,000 = $1,200

Answer:

\(\displaystyle \frac{7}{37}\)

Step-by-step explanation:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}\)

I am joyous to assist you at any time.

Step-by-step explanation:

this is a relatively easy function. Just plug in the value for x

Answer:

C because you would have completed every outcome

The value of x, considering the similar triangles, is given as follows:

B) 6.

Similar triangles are triangles that share these two features listed as follows:

Considering that the triangles for this problem are similar, the proportional relationship for the side lengths is given as follows:

9/3 = 12/4 = x/2.

Since the constant is of 3, the value of x is obtained with cross multiplication as follows:

x/2 = 3

x = 6.

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The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Answer:

156

Step-by-step explanation:

These angles would equal each other so just set both equations equal to each other to find x:

x + 104 = 3x

Solve:

104 = 2x                      Subtract x from 3x

x = 52                          Divide 2 from 104

Now that we have found x we can find the measurement of either angle. Let's start with the top:

52 + 104 = 156

Now lets do the bottom:

3(52) = 156

Both angles equal 156, so that means that is the answer!

Hope this helps!!

The greatest common divisor of 5! and 7! is 840.

To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.

First, let's calculate the prime factorization of 5!:

5! = 5 * 4 * 3 * 2 * 1 = 120.

The prime factorization of 120 is 2^3 * 3 * 5.

Now, let's calculate the prime factorization of 7!:

7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.

The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.

To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.

From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:

GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.

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Answer:

\(22440=6200e^{0.06T}\)

\(\implies \dfrac{561}{155}=e^{0.06T}\)

\(\implies \ln\dfrac{561}{155}=\ln e^{0.06T}\)

\(\implies \ln\dfrac{561}{155}=0.06T\)

\(\implies T=\dfrac{50}{3}\ln\dfrac{561}{155}\)

\(\implies T=21.43826314...\)

\(22440=6200e^{0.1T}\)

\(\implies \dfrac{561}{155}=e^{0.1T}\)

\(\implies \ln\dfrac{561}{155}=\ln e^{0.1T}\)

\(\implies \ln\dfrac{561}{155}=0.1T\)

\(\implies T=10\ln\dfrac{561}{155}\)

\(\implies T=12.86295789...\)